A Galois correspondence for \(K_\beta\)-rings

DOI10.1016/j.jalgebra.2023.10.023OpenAlexW4388672875MaRDI QIDQ6183572

Christian Cortés García, Thaísa Tamusiunas

Publication date: 4 January 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2023.10.023

zbMATH Keywords

Galois extensionGalois correspondencegroupoid action\(K_\beta\)-ring

Mathematics Subject Classification ID

Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (1)

Partial groupoid representations and a relation with the Birget-Rhodes expansion

Cites Work

• The Galois correspondence theorem for groupoid actions
• Galois correspondence for group-type partial actions of groupoids
• Injectivity of the Galois map
• On semisimple extensions and separable extensions over non commutative rings
• Partial Groupoid Actions: Globalization, Morita Theory, and Galois Theory
• A CHARACTERISATION FOR A GROUPOID GALOIS EXTENSION USING PARTIAL ISOMORPHISMS
• The commutative inverse semigroup of partial abelian extensions
• A Galois-Grothendieck-type correspondence for groupoid actions
• A Galois Theory for Noncommutative Rings
• On the Galois map for groupoid actions
• Groupoid actions on sets, duality and a morita context
• On the induced partial action of a quotient group and a structure theorem for a partial Galois extension

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